The student senate at a lo0 26. women's sports program and a representative from the men's sports program must both be elected. Two candidates, an incumbent and a challenger, are vying for each position and early polling results are presented next. A hypothesis test must be performed to determine whether the percentages of supportipg votes are different between the two incumbent candidates. In a sample of 100voters, 67 said that they would vote for the women's incumbent candidate. In a separate sample of 100 voters, 55 said they would vote for the men's incumbent candidate. Let p1 and p2 be the proportions of supporting votes for the incumbent candidates representing women's and men's sports programs, respectively. Which of the following are the competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates? A. Ho: p po, HA: p # Po B. Ho: P1 p2, HA: Pi # P2 C. Ho: P1 < P2, Ha: Pi > p2 He: D. > na H. D. < Da

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26. The student senate at a local university is about to hold elections. A representative from the
women's sports program and a representative from the men's sports program must both be
elected. Two candidates, an incumbent and a challenger, are vying for each position and early
polling results are presented next. A hypothesis test must be performed to determine whether
the percentages of supportipg votes are different between the two incumbent candidates. In
a sample of 100voters, 67 said that they would vote for the women's incumbent candidate.
In a separate sample of 100 voters, 55 said they would vote for the men's incumbent
candidate. Let p1 and p2 be the proportions of supporting votes for the incumbent candidates
representing women's and men's sports programs, respectively. Which of the following are
the competing hypotheses to determine whether the percentages of supporting votes are
different between the two incumbent candidates?
А. Но:
A. Ho: p = po , HA: p # Po
В. Но: рі —
C. Ho: Pi s p2 , HA: Pi > P2
D. Ho: p1 2 p2 , HA: Pi < P2
P2 , Ha: Pi p2
27. A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer
products from distributor A contain more of the nitrogen that his plants need than distributor
B's fertilizer does. He takes two independent samples of four batches of fertilizer from each
distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A
contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per batch.
Suppose the population standard deviation for distributor A and distributor B is four pounds
per batch and five pounds per batch, respectively. Assume the distribution of nitrogen in
fertilizer is normally distributed. Let pi and 2 represent the average amount of nitrogen per
batch for fertilizer's A and B, respectively. Which of the following is an appropriate p-value?
A. 0.0592
B. 0.0847
C. 0.0896
D. 0.1184
a
16
Transcribed Image Text:+ 2 E I A Read aloud Draw Highlight Erase 26. The student senate at a local university is about to hold elections. A representative from the women's sports program and a representative from the men's sports program must both be elected. Two candidates, an incumbent and a challenger, are vying for each position and early polling results are presented next. A hypothesis test must be performed to determine whether the percentages of supportipg votes are different between the two incumbent candidates. In a sample of 100voters, 67 said that they would vote for the women's incumbent candidate. In a separate sample of 100 voters, 55 said they would vote for the men's incumbent candidate. Let p1 and p2 be the proportions of supporting votes for the incumbent candidates representing women's and men's sports programs, respectively. Which of the following are the competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates? А. Но: A. Ho: p = po , HA: p # Po В. Но: рі — C. Ho: Pi s p2 , HA: Pi > P2 D. Ho: p1 2 p2 , HA: Pi < P2 P2 , Ha: Pi p2 27. A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain more of the nitrogen that his plants need than distributor B's fertilizer does. He takes two independent samples of four batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per batch. Suppose the population standard deviation for distributor A and distributor B is four pounds per batch and five pounds per batch, respectively. Assume the distribution of nitrogen in fertilizer is normally distributed. Let pi and 2 represent the average amount of nitrogen per batch for fertilizer's A and B, respectively. Which of the following is an appropriate p-value? A. 0.0592 B. 0.0847 C. 0.0896 D. 0.1184 a 16
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